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Finding the Fourth Proportional to 1,983.76, 2,971.32 and 1,893.52

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Solution

The fourth proportional to 1,983.76, 2,971.32 and 1,893.52 is: 2,836.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.76 : 2,971.32 = 1,893.52 : x
  2. Step 2: Convert to fraction form
    1,983.76/2,971.32 = 1,893.52/x
  3. Step 3: Cross multiply
    1,983.76x = 2,971.32 × 1,893.52
  4. Step 4: Simplify right side
    1,983.76x = 5,626,253.85
  5. Step 5: Solve for x
    x = 5,626,253.85/1,983.76
  6. Step 6: Final answer
    x = 2,836.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.